O is the Ortho centre of `Delta ABC ` then A will be Orthocentre

Answer

To solve the question "O is the Orthocenter of triangle ABC, then A will be Orthocenter," we need to understand the properties of the orthocenter in a triangle.

### Step-by-Step Solution:

1. **Understanding the Orthocenter**:
- The orthocenter of a triangle is the point where the three altitudes intersect. In triangle ABC, let O be the orthocenter.

2. **Properties of Angles in Triangle**:
- In triangle ABC, we know that the angles formed by the vertices and the orthocenter have specific relationships. The angles at the orthocenter can be expressed in terms of the angles of the triangle.

3. **Using the Angle Relationships**:
- According to the properties of the orthocenter, we have:
- Angle BOC + Angle BAC = 180°
- Angle COA + Angle ABC = 180°
- Angle AOB + Angle ACB = 180°

4. **Finding Angle BAC**:
- From the relationship Angle BOC + Angle BAC = 180°, we can express Angle BAC as:
- Angle BAC = 180° - Angle BOC

5. **Conclusion**:
- Since O is the orthocenter of triangle ABC, and we have established the relationships among the angles, we conclude that the properties of the orthocenter confirm that A can be considered as the orthocenter in the context of the triangle's angles.

### Final Statement:
Thus, if O is the orthocenter of triangle ABC, then A will also be considered as the orthocenter in terms of the angle relationships.

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